Slope/Unit Rate

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant as the y-value changes.

Front

If Daysha reads 125 pages and earns 5 points, what is her unit rate of points earned per page?

Back

Unit rate = 5 points / 125 pages = 0.04 points per page.

Front

What is the unit rate if Trishtohn charges $17.50 for 5 roses?

Back

Unit rate = $17.50 / 5 roses = $3.50 per rose.

Front

How can you represent a linear relationship on a graph?

Back

A linear relationship can be represented by a straight line on a graph, where the slope indicates the rate of change.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.